Answer:
The area of a square can be found from the area of a trapezoid by replacing the parallel sides of the trapezoid and the height by the length of the side of the square
Step-by-step explanation:
The area of a trapezoid is given as follows;
[tex]A = \frac{a + b}{2} h[/tex]
Where:
a and b = the parallel sides of the trapezoid
h = Height of the trapezoid
Therefore, whereby the trapezoid is a square of side s, we have;
a = b = s
h = s
Plugging in the values into the formula for finding the area of a trapezoid, we have;
[tex]A = \frac{s + s}{2} \times s = \frac{2 \cdot s}{2} \times s= s \times s = s^2 = Area \ of \, a \, square[/tex]
Therefore, the area of a square can be found from the area of a trapezoid by replacing the parallel sides of the trapezoid and the height by the length of the side of the square.
